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Finding the Fourth Proportional to 3,880.16, 5,819 and 1,282.48

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Solution

The fourth proportional to 3,880.16, 5,819 and 1,282.48 is: 1,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.16 : 5,819 = 1,282.48 : x
  2. Step 2: Convert to fraction form
    3,880.16/5,819 = 1,282.48/x
  3. Step 3: Cross multiply
    3,880.16x = 5,819 × 1,282.48
  4. Step 4: Simplify right side
    3,880.16x = 7,462,751.12
  5. Step 5: Solve for x
    x = 7,462,751.12/3,880.16
  6. Step 6: Final answer
    x = 1,923.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.